Geometry

Question Analysis:
This is another algebra-meets-geometry question.
The main focus is determining when a quadrilateral is a parallelogram based on side congruence and parallelism.

Key Concept Explanation:
If a pair of opposite sides are both parallel (given) and equal in length, then the shape is a parallelogram.
We equate the side lengths: 3x + 2 = x + 10

Step-by-Step Solution:
Subtract x from both sides: 2x + 2 = 10
Subtract 2 from both sides: 2x = 8
Divide by 2: x = 4

Common Mistakes:
Forgetting to isola...